| 求解动力学问题的分层迭代方法 |
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| 引用本文： | 董云峰. 求解动力学问题的分层迭代方法[J]. 航天控制, 1993, 0(3) |
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| 作者姓名： | 董云峰 |
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| 作者单位： | 北京航空航天大学 |
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| 摘 要： | 对于多体树系统,其动力学方程可写成A_q=B的形式,解此微分方程,需要求得方阵A的逆。本文针对主体部件附有活动小部件的特殊多体材系统,给出一种分层迭代求解微分方程的方法,避免病态矩阵求逆问题。此方法省掉了一些中间结果的公式展开,降低了微分方程的刚性影响,运算流程结构化、模块化、便于力学特性和控制的一体化考虑。
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| 关 键 词： | 动力学 迭代 计算 |
A Hierarchical Method To Solve Dynamic Differential Equation |
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| Dong YunFeng Beijing University of Aeronautics and Astronautics. A Hierarchical Method To Solve Dynamic Differential Equation[J]. Aerospace Control, 1993, 0(3) |
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| Authors: | Dong YunFeng Beijing University of Aeronautics and Astronautics |
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| Affiliation: | Dong YunFeng Beijing University of Aeronautics and Astronautics |
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| Abstract: | The dynamics equations described a multibody system can be presented at aform of Aq = B. Calculating matrix A~(-1) is a simple way to solve these kinds of differentialequations. Matrix A will be in the ill condition if the system is configurated as a main bodywith small mass subsystems. A hierarchical method is given in this paper to avoid this prob-lem. The method omits a sevies of formula expanding steps. It is also sueful to reduce theinfluence of the stiff problem. The calculation progress is modular and structural. |
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| Keywords: | Dynamics Iteration Computation |
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